Type theory

About this programme

Type theory: lambda calculus, contexts, forms of judgement, simple types, inductive types. Operational semantics: confluence and normalization. The Curry-Howard isomorphism. Martin-Löf type theory: dependent types, induction and elimination rules, identity types, universes. The Brouwer-Heyting-Kolmogorov interpretation of logic. Meaning explanations. Semantics of dependent types. Explicit substitution. Category theoretical models. One or more of the following areas of application of type theory are covered: homotopy theory, models for (constructive) set theory and proof assistants. Eligibility: The course Logic (MM7008) corresponds to the newer version Mathematics III - Logic (MM5024). Assessment takes place through a written assignments, and written and oral exams. To follow your passion. To be close to international career opportunities. To explore city and countryside. In Stockholm you can really get the best of both worlds. Here we explain all the different steps you need to go through when applying to a course or programme. Stockholm University arranges regular webinars and participates in educational fairs and events virtually and around the world to meet students and inform them about our study programmes. Every year Stockholm University welcomes thousands of international students from all over the world. Each bringing their own backpack full of experiences, expectations and dreams. Education and research are closely linked at Stockholm University. As a student, you will have direct contact with leading researchers in your field and access to the most recent